12111222211200 has 1536 divisors, whose sum is σ = 51397424640000. Its totient is φ = 2728028160000.

The previous prime is 12111222211141. The next prime is 12111222211271. The reversal of 12111222211200 is 211222211121.

12111222211200 is a `hidden beast` number, since 1 + 21 + 11 + 222 + 211 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20219068501 + ... + 20219069099.

It is an arithmetic number, because the mean of its divisors is an integer number (33461865000).

Almost surely, 2^{12111222211200} is an apocalyptic number.

12111222211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111222211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25698712320000).

12111222211200 is an abundant number, since it is smaller than the sum of its proper divisors (39286202428800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12111222211200 is a wasteful number, since it uses less digits than its factorization.

12111222211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12111222211200 its reverse (211222211121), we get a palindrome (12322444422321).

The spelling of 12111222211200 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".